Abstract
The classical variational principles of fluid-solid interaction impose certain constraint as well as stringent interface conditions. The conditions which are often undesirable in obtaining approximate direct solutions are relaxed through Friedrichs’s transformation. Hence, the unconstrained variational principles are formulated which yield, as the Euler equations, all the fundamental equations of a viscous incompressible fluid and an anisotropic elastic solid immersed within the fluid of finite extent, and their interface continuity conditions.
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Sarigül, N., Dökmeci, M.C. (1982). Certain Variational Principles with No Constraints for Fluid-Solid Strong Interaction. In: Holz, K.P., Meissner, U., Zielke, W., Brebbia, C.A., Pinder, G., Gray, W. (eds) Finite Elements in Water Resources. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02348-8_12
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DOI: https://doi.org/10.1007/978-3-662-02348-8_12
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